Step 5 in the addition algorithm resets the carry if the sum of two digits is greater than or equal to 10.
Understand the Problem
The question is discussing a specific step in the addition algorithm, particularly focusing on how the carry value is managed when the sum of two digits reaches or exceeds 10. It involves an understanding of how to handle carries in a multi-digit addition process in mathematics.
Answer
Carries are managed by adding the carry value to the next digits; if the sum is 10 or more, carry 1 to the next column.
Answer for screen readers
The carry is managed by adding the carry value to the next pair of digits being summed. If the sum of the digits plus the carry reaches or exceeds 10, we again carry 1 and write down the remainder.
Steps to Solve
- Understanding Carry in Addition
When adding two digits, if their sum is 10 or more, we need to carry over the extra value to the next digit. For example, if we add 7 and 5, the sum is 12. Here, the carry would be 1 (since $12 = 10 + 2$). We keep the 2 and carry the 1.
- Identifying the Next Step
After carrying the 1, we move to add the next pair of digits, including the carry. Let's say the next digits to add are 3 and 6, along with the carry of 1 from the previous step. We add these together: $3 + 6 + 1 = 10$.
- Handling the New Carry
Again, since the new sum (10) is equal to 10, we carry the 1 again and keep the 0. If there are more digits to add, we proceed similarly, but if there aren't, we may end with just writing down the carry.
The carry is managed by adding the carry value to the next pair of digits being summed. If the sum of the digits plus the carry reaches or exceeds 10, we again carry 1 and write down the remainder.
More Information
Managing carry values is crucial in multi-digit addition and ensures that each column of digits is added correctly. It helps in maintaining accuracy throughout the calculation process.
Tips
- Forgetting to carry over the value when the sum exceeds 10. To avoid this, always check the sum of both digits and the carry before writing down results.
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